CAIE IGCSE Mathematics Core Compound Shapes and Shaded Areas

Practise decomposing compound diagrams into standard shapes and adding or subtracting their areas, arcs and exposed edges accurately.

Syllabus
2028–2030
Objective
C5.5.1
Level
Core

Exam points

  • split the diagram into rectangles, triangles, circles or sectors and label every needed dimension
  • add component areas or subtract openings and removed regions from the enclosing shape
  • trace only the outside boundary for perimeter and include exposed arcs but exclude joined internal edges

C5.5.1 Carry out calculations and solve problems involving perimeters and question 1

[Maximum number: 3]

Elize, Lily and Marco start a business.

Elize buys a framed picture.

Figure for Question C5.5.1 Carry out calculations and solve problems involving perimeters and question 1 — CAIE IGCSE Mathematics Core

The picture is a circle with diameter 18 cm.
The frame is a square of side length 18 cm.
Calculate the shaded area.
cm2\mathrm{cm}^2

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